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Finding the Fourth Proportional to 223,463.70, 335,195.55 and 198,969.30

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Solution

The fourth proportional to 223,463.70, 335,195.55 and 198,969.30 is: 298,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,463.70 : 335,195.55 = 198,969.30 : x
  2. Step 2: Convert to fraction form
    223,463.70/335,195.55 = 198,969.30/x
  3. Step 3: Cross multiply
    223,463.70x = 335,195.55 × 198,969.30
  4. Step 4: Simplify right side
    223,463.70x = 66,693,623,946.62
  5. Step 5: Solve for x
    x = 66,693,623,946.62/223,463.70
  6. Step 6: Final answer
    x = 298,453.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.